Persons: Kapustin, Vladimir Vladimirovich

Loading [MathJax]/jax/output/SVG/config.js

Persons

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

Kapustin, Vladimir Vladimirovich

Statistics Math-Net.Ru
Total publications:	30
Scientific articles:	30
Presentations:	27

Number of views:
This page:	2464
Abstract pages:	7680
Full texts:	2682
References:	951

Candidate of physico-mathematical sciences

E-mail:

kapustin@pdmi.ras.ru

https://www.mathnet.ru/eng/person33834

List of publications on Google Scholar

https://mathscinet.ams.org/mathscinet/MRAuthorID/271703

	Publications in Math-Net.Ru	Citations
	2024
1.	V. V. Kapustin, “Riemann xi function and modified Bessel functions”, Algebra i Analiz, 36:2 (2024), 48–69
2.	V. V. Kapustin, “Hilbert–Pólya operators in Krein spaces”, Sibirsk. Mat. Zh., 65:1 (2024), 87–91
	2022
3.	V. V. Kapustin, “Schrödinger Operator with Morse Potential and Zeros of the Riemann Zeta Function”, Mat. Zametki, 111:2 (2022), 304–307 ; Math. Notes, 111:2 (2022), 312–315
4.	V. V. Kapustin, “The Mellin transform, de Branges spaces, and Bessel functions”, Zap. Nauchn. Sem. POMI, 512 (2022), 88–94	1
	2021
5.	V. V. Kapustin, “The set of zeros of the Riemann zeta function as the point spectrum of an operator”, Algebra i Analiz, 33:4 (2021), 107–124 ; St. Petersburg Math. J., 33:4 (2022), 661–673	10
6.	V. V. Kapustin, “Five Hilbert space models related to the Riemann zeta function”, Zap. Nauchn. Sem. POMI, 503 (2021), 84–96	2
	2019
7.	V. V. Kapustin, “Nearly invariant subspaces and rational interpolation”, Zap. Nauchn. Sem. POMI, 480 (2019), 148–161	1
	2018
8.	V. V. Kapustin, “Beurling's theorem, Davenport's formula, and the Riemann hypothesis”, Algebra i Analiz, 30:6 (2018), 20–42 ; St. Petersburg Math. J., 30:6 (2019), 917–932	1
9.	V. V. Kapustin, “Kernels of Toeplitz operators and rational interpolation”, Zap. Nauchn. Sem. POMI, 467 (2018), 85–107 ; J. Math. Sci. (N. Y.), 243:6 (2019), 880–894	1
	2012
10.	V. V. Kapustin, “Cauchy-type integrals and singular measures”, Algebra i Analiz, 24:5 (2012), 72–93 ; St. Petersburg Math. J., 24:5 (2013), 743–757	2
11.	V. V. Kapustin, “Averaged Wave Operators on Singular Spectrum”, Funktsional. Anal. i Prilozhen., 46:2 (2012), 24–36 ; Funct. Anal. Appl., 46:2 (2012), 100–109	4
12.	G. G. Amosov, A. D. Baranov, V. V. Kapustin, “Applications of model spaces to construction of cocyclic perturbations of a semigroup of shifts on a semiaxis”, Ufimsk. Mat. Zh., 4:1 (2012), 17–28	2
	2010
13.	G. G. Amosov, A. D. Baranov, V. V. Kapustin, “On perturbations of the isometric semigroup of shifts on the semiaxis”, Algebra i Analiz, 22:4 (2010), 1–20 ; St. Petersburg Math. J., 22:4 (2011), 515–528	4
14.	V. V. Kapustin, “On wave operators on the singular spectrum”, Zap. Nauchn. Sem. POMI, 376 (2010), 48–63 ; J. Math. Sci. (N. Y.), 172:2 (2011), 207–214	7
	2006
15.	V. V. Kapustin, “Commutators in model spaces”, Zap. Nauchn. Sem. POMI, 333 (2006), 54–61 ; J. Math. Sci. (N. Y.), 141:5 (2007), 1538–1542
	2004
16.	V. V. Kapustin, “Boundary values of Cauchy-type integrals”, Algebra i Analiz, 16:4 (2004), 114–131 ; St. Petersburg Math. J., 16:4 (2005), 691–702	5
	2001
17.	V. V. Kapustin, “Spectral analysis of almost unitary operators”, Algebra i Analiz, 13:5 (2001), 44–68 ; St. Petersburg Math. J., 13:5 (2002), 739–756	10
18.	V. V. Kapustin, “Nonselfadjoint extensions of symmetric operators”, Zap. Nauchn. Sem. POMI, 282 (2001), 92–105 ; J. Math. Sci. (N. Y.), 120:5 (2004), 1696–1703	3
	1999
19.	V. V. Kapustin, “Real functions in weighted Hardy spaces”, Zap. Nauchn. Sem. POMI, 262 (1999), 138–146 ; J. Math. Sci. (New York), 110:5 (2002), 2986–2990	3
	1998
20.	V. V. Kapustin, “Operators close to unitary and their function models. 1”, Zap. Nauchn. Sem. POMI, 255 (1998), 82–91 ; J. Math. Sci. (New York), 107:4 (2001), 4022–4028	4
	1997
21.	V. V. Kapustin, “Characteristic functions and their factorizations”, Zap. Nauchn. Sem. POMI, 247 (1997), 71–78 ; J. Math. Sci. (New York), 101:3 (2000), 3088–3092	1
	1996
22.	V. V. Kapustin, “One-dimensional perturbations of singular unitary operators”, Zap. Nauchn. Sem. POMI, 232 (1996), 118–122 ; J. Math. Sci. (New York), 92:1 (1998), 3619–3621	6
	1994
23.	V. V. Kapustin, “Function calculus for almost isometric operators”, Zap. Nauchn. Sem. POMI, 217 (1994), 59–73 ; J. Math. Sci. (New York), 85:2 (1997), 1794–1801
	1992
24.	V. V. Kapustin, “Reflexivity of operators: general methods and a criterion for almost isometric contractions”, Algebra i Analiz, 4:2 (1992), 141–160 ; St. Petersburg Math. J., 4:2 (1993), 319–335	5
25.	V. V. Kapustin, “Almost isometric operators: a function model, invariant subspaces, the commutant”, Zap. Nauchn. Sem. POMI, 201 (1992), 95–116 ; J. Math. Sci., 78:2 (1996), 181–194
	1991
26.	V. V. Kapustin, “A criterion for the reflexivity of contractions with a defect operator of the Hilbert–Schmidt class”, Dokl. Akad. Nauk SSSR, 318:6 (1991), 1308–1311 ; Dokl. Math., 43:3 (1991), 919–922
27.	V. V. Kapustin, A. V. Lipin, “Operator algebras and invariant subspaces lattices. II”, Zap. Nauchn. Sem. LOMI, 190 (1991), 110–147 ; J. Math. Sci., 71:1 (1994), 2240–2262	3
	1989
28.	V. V. Kapustin, A. V. Lipin, “Operator algebras and invariant subspaces lattices. I”, Zap. Nauchn. Sem. LOMI, 178 (1989), 23–56 ; J. Soviet Math., 61:2 (1992), 1963–1981	3
	1988
29.	V. A. Dolgikh, V. V. Kapustin, O. M. Kerimov, I. G. Rudoĭ, A. M. Soroka, “EFFECTIVE VUV LUMINESCENCE OF XE2-STAR DIMERS IN DEPENDENT AND SELF-SUPPORTING DISCHARGES”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 14:11 (1988), 1049–1053	1
	1986
30.	N. G. Basov, V. A. Danilychev, V. A. Dolgikh, V. V. Kapustin, O. M. Kerimov, A. L. Malinovsky, Yu. F. Myznikov, I. G. Rudoĭ, A. M. Soroka, “Potentiality of electroionization hydrogen lamp production in the VUV spectrum region”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 12:10 (1986), 628–632

Presentations in Math-Net.Ru

1.	Дзета-функция Римана и возмущения самосопряженных операторов. V. V. Kapustin Contemporary Problems in Number Theory February 27, 2025 13:00
2.	Дзета-функция Римана, парные корреляции последовательностей и возмущения самосопряжённых операторов V. V. Kapustin Seminar on Probability Theory and Mathematical Statistics November 8, 2024 18:00
3.	Парные корреляции нулей дзета-функции Римана и возмущения самосопряженных операторов V. V. Kapustin International conference “Theory of Functions, Operator Theory and Quantum Information Theory” June 8, 2024 11:05
4.	О пространстве де Бранжа и канонической системе, связанных с кси-функцией Римана V. V. Kapustin Conference on Complex Analysis and its Applications September 12, 2023 15:00
5.	The Riemann Xi-function, the de Branges space and Bessel functions V. V. Kapustin International Conference "Theory of Functions, Operator Theory and Quantum Information Theory" June 1, 2023 14:30
6.	Кси-функция Римана в гильбертовом пространстве канонической системы V. V. Kapustin Seminar on Operator Theory and Function Theory November 7, 2022 17:30
7.	О канонической системе с диагональным гамильтонианом, связанной с дзета-функцией Римана V. V. Kapustin October 24, 2022 15:50
8.	Operators in Kerin space and zeros of the Riemann zeta function V. V. Kapustin International Conference "Functions Theory, Operators Theory and Quantum Information Theory" October 20, 2022 15:35
9.	Zeros of the Riemann zeta function and perturbations of differential operators V. V. Kapustin General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences September 15, 2022 13:00
10.	Zeros of the Riemann zeta function and differential operators V. V. Kapustin Virtual Workshop “Complex Analysis and Geometry” November 18, 2021 16:40
11.	Нули дзета-функции Римана и операторы Штурма—Лиувилля V. V. Kapustin Function Theory, Operator Theory and Quantum Information Theory October 6, 2021 13:40
12.	The set of zeros of the Riemann zeta function as the spectrum of an operator V. V. Kapustin Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021 July 7, 2021 13:00
13.	Множество нетривиальных нулей дзета-функции Римана как спектр оператора V. V. Kapustin Seminar on Operator Theory and Function Theory April 19, 2021 17:30
14.	Аппроксимация в весовых $L^2$-пространствах и гипотеза Римана V. V. Kapustin International conference "8th Russian-Armenian Workshop on Mathematical Physics, Complex Analysis and Related Topics" September 20, 2019 15:50
15.	Kernels of Toeplitz operators and rational interpolation V. V. Kapustin Seminar on Complex Analysis (Gonchar Seminar) April 8, 2019 17:00
16.	Рациональная интерполяция и дзета-функция Римана V. V. Kapustin Seminar on Operator Theory and Function Theory November 26, 2018 17:30
17.	On the exposed points of the unit ball of $H^1$ V. V. Kapustin Seminar on Complex Analysis (Gonchar Seminar) December 18, 2017 17:00
18.	Гипотеза Римана и аппроксимация кусочно-линейными функциями V. V. Kapustin Seminar on Operator Theory and Function Theory April 24, 2017 17:30
19.	The Riemann Hypothesis and Beurling's theorem V. V. Kapustin Seminar on Complex Analysis (Gonchar Seminar) March 20, 2017 17:00
20.	О подходе Бёрлинга-Нимана к гипотезе Римана V. V. Kapustin Seminar on Operator Theory and Function Theory November 14, 2016 17:30
21.	Гипотеза Римана и формула Дэвенпорта V. V. Kapustin Seminar on Operator Theory and Function Theory October 19, 2015 17:30
22.	Spectral analysis of contractions with a scalar inner characteristic function V. V. Kapustin Seminar on Complex Analysis (Gonchar Seminar) December 15, 2014 18:00
23.	The Hilbert transform with respect to a singular measure V. V. Kapustin Seminar on Complex Analysis (Gonchar Seminar) May 26, 2014 18:00
24.	О подходе Б. Нимана к гипотезе Римана V. V. Kapustin Seminar on Operator Theory and Function Theory March 3, 2014 17:30
25.	Коммутаторы ранга 2 в $L^2$-пространствах на окружности V. V. Kapustin Seminar on Operator Theory and Function Theory November 25, 2013 17:30
26.	Коммутаторы в $L^2$-пространствах V. V. Kapustin Seminar on Operator Theory and Function Theory September 9, 2013 17:30
27.	Усреднённые волновые операторы на сингулярном спектре V. V. Kapustin Seminar on Operator Theory and Function Theory March 5, 2012 17:30

Organisations

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences

Registration to the website

Logotypes